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    Applications of Harmonic Motion

    Physics

    • Title Home
    • Study Guide
    • Topics
      • Introduction and Summary
      • Applications of Simple Harmonic Motion
      • Problems
      • Calculus Based Section Complex Harmonic Motion
      • Problems
    • Terms and Formulae

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    Applications of Harmonic Motion Terms and Formulae

    Terms and Formulae

    Applications of Harmonic Motion Terms and Formulae

      Terms

    • Torsional Oscillator

      The oscillation of any object suspended by a wire and rotating about the axis of the wire.

    • Pendulum

      The classic pendulum consists of a particle suspended from a light cord. When the particle is pulled to one side and released, it swings back past the equilibrium point and oscillates between two maximum angular displacements.

    • Damping force

      A force proportional to the velocity of the object that causes it to slow down.

    • Resonance

      The phenomena in which a driving force causes a rapid increase in the amplitude of oscillation of a system.

    • Resonant Frequency

      The frequency at which a driving force will produce resonance in a given oscillating system.

    • Formulae

       
      Equation for the torque felt in a torsional oscillator τ = - κσ
       
      Equation for angular displacement of a torsional oscillator θ = θmcos(σt)
       
      Equation for the period of a torsional oscillator T = 2Π
       
      Equation for the angular frequency of a torsional oscillator σ =
       
      Equation for the force felt by a pendulum F = mg sinθ
       
      Approximation of the force felt by a pendulum F - ()x
       
      Equation for the period of a pendulum T = 2Π
       
      Differential equation describing damped motion kx + b + m = 0
       
      Equation for the displacement of a damped system x = xmecos(σâ≤t)
       
      Equation for the angular frequency of a damped system σâ≤ =
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